Critical formation of trapped surfaces in the collision of gravitational shock waves

Details Critical formation of trapped surfaces in the collision of gravitational shock waves Critical formation of trapped surfaces in the collision of gravitational shock waves

2008-11-25

arxiv.org/abs/0811.3969v1

JHEP 0902:009,2009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1088/1126-6708/2009/02/009

We study the formation of marginally trapped surfaces in the head-on collision of two shock waves both in anti-de Sitter and Minkowski space-time in various dimensions as a function of the spread of the energy density in transverse space. For D=4 and D=5 it is shown that there exists a critical value of this spread above which no solution to the trapped surface equation is found. In four dimensions the trapped surface at criticality has a finite size, whereas in five the critical size vanishes. In both cases we find scaling relations characterized by critical exponents. Finally, when D>5 there is always a solution to the trapped surface equation for any transverse spread.

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